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cs.LG2026

Spend Less, Fit Better: Budget-Efficient Scaling Law Fitting via Active Experiment Selection

Sijie Li, Shanda Li, Haowei Lin +3

Scaling laws are used to plan multi-million-dollar training runs, but fitting those laws can itself cost millions. In modern large-scale workflows, assembling a sufficiently inform…

cs.LG2026

FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimization

Shengyu Feng, Weiwei Sun, Shanda Li +2

Machine learning (ML) has shown promise for tackling combinatorial optimization (CO), but much of the reported progress relies on small-scale, synthetic benchmarks that fail to cap…

cs.LG2026

Learn Hard Problems During RL with Reference Guided Fine-tuning

Yangzhen Wu, Shanda Li, Zixin Wen +5

Reinforcement learning (RL) for mathematical reasoning can suffer from reward sparsity: for challenging problems, LLM fails to sample any correct trajectories, preventing RL from r…

cs.LG2026

CodePDE: An Inference Framework for LLM-driven PDE Solver Generation

Shanda Li, Tanya Marwah, Junhong Shen +4

Partial differential equations (PDEs) are fundamental to modeling physical systems, yet solving them remains a complex challenge. Traditional numerical solvers rely on expert knowl…

cs.LG2025

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators

Shanda Li, Shinjae Yoo, Yiming Yang

Fourier Neural Operators (FNOs) offer a principled approach for solving complex partial differential equations (PDEs). However, scaling them to handle more complex PDEs requires in…

cs.LG2025

Sample Complexity and Representation Ability of Test-time Scaling Paradigms

Baihe Huang, Shanda Li, Tianhao Wu +5

Test-time scaling paradigms have significantly advanced the capabilities of large language models (LLMs) on complex tasks. Despite their empirical success, theoretical understandin…